A 𝑐₀-saturated Banach space with no long unconditional basic sequences

DOI10.1090/S0002-9947-09-04858-2zbMath1191.46017arXivmath/0610562MaRDI QIDQ3394966

Stevo Todorčević, Jordi López-Abad

Publication date: 11 September 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610562

zbMATH Keywords

hereditarily indecomposable space\(\omega_{1}\)-singular operator\(c_{0}\)-saturated Banach spacedistortablelong unconditional basic sequencesnon-separable subspaces

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Spaces of operators; tensor products; approximation properties (46B28) Nonseparable Banach spaces (46B26) Partition relations (03E02)

Related Items (3)

Uncountable equilateral sets in Banach spaces of the form \(C(K)\) ⋮ There is no bound on sizes of indecomposable Banach spaces ⋮ An Asplund space with norming Markuševič basis that is not weakly compactly generated

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